HSC Stuff > HSC Mathematics Extension 1
Mathematics Extension 1 Challenge Marathon
birdwing341:
--- Quote from: RuiAce on March 18, 2016, 08:56:44 am ---
Required knowledgePreliminary 2U Trigonometric Ratios, Preliminary 2U Introduction to Calculus, HSC 3U Inverse Functions and the Inverse Trigonometric Functions
--- End quote ---
Are you sure the last part of the root is x^3? My answer is with an x^2.
Is this right?
jamonwindeyer:
--- Quote from: birdwing341 on April 30, 2016, 02:17:36 pm ---Are you sure the last part of the root is x^3? My answer is with an x^2.
Is this right?
--- End quote ---
I think (pending the thumbs up from Rui, I hadn't tried this question before you mentioned the possible mistake) that you are indeed correct!! Great solution, well set out, great job! ;D
RuiAce:
I don't know where I got x3 from either, sorry
Edit: Original post fixed! :)
Empathy:
--- Quote from: RuiAce on April 18, 2016, 08:40:45 am ---'Infinitely' times more easier than what meets the eye
--- End quote ---
Answer/method in spoiler
SpoilerIs the answer 8?
arctan(infinity)=pi/2.
e^(-infinity)=0
cos(infinity) oscillates between 1, -1 but this is actually irrelevant.
After removing/subbing these in (aside from the cos one), divide the top and bottom by x^8 as usual with lim questions. The reason the cos was irrelevant is that its basically (1/x^7)*((cosx)/x) which is 0/x^7. After cancelling out all the non whole numbers, I got 8/1=8
jamonwindeyer:
--- Quote from: Empathy on May 05, 2016, 12:26:03 pm ---Answer/method in spoiler
SpoilerIs the answer 8?
arctan(infinity)=pi/2.
e^(-infinity)=0
cos(infinity) oscillates between 1, -1 but this is actually irrelevant.
After removing/subbing these in (aside from the cos one), divide the top and bottom by x^8 as usual with lim questions. The reason the cos was irrelevant is that its basically (1/x^7)*((cosx)/x) which is 0/x^7. After cancelling out all the non whole numbers, I got 8/1=8
--- End quote ---
Good thinking putting the solution in a spoiler, I'm going to go back and put other solutions in a spoiler as well ;D but yes, pending the Rui tick of approval, that is correct!! Nicely done! ;D
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